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Finding the Fourth Proportional to 222.16, 331.74 and 175.99

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Solution

The fourth proportional to 222.16, 331.74 and 175.99 is: 262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.16 : 331.74 = 175.99 : x
  2. Step 2: Convert to fraction form
    222.16/331.74 = 175.99/x
  3. Step 3: Cross multiply
    222.16x = 331.74 × 175.99
  4. Step 4: Simplify right side
    222.16x = 58,382.92
  5. Step 5: Solve for x
    x = 58,382.92/222.16
  6. Step 6: Final answer
    x = 262.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.